Question

Giúp mik gấp nha, ai đúng mik tik cho~

1\(\frac{1}{3}\)x 1\(\frac{1}{8}\)x 1\(\frac{1}{15}\)x 1\(\frac{1}{24}\)x.......x 1\(\frac{1}{99}\)

Cảm ơn m.n!!

Answer 1

\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)

\(=\frac{2x2x3x3x4x4x5x5x6x6x7x7x8x8x9x9x10x10}{1x3x2x4x3x5x4x6x5x7x6x8x7x9x8x10x9x11}=\frac{2x10}{11}=\frac{20}{11}\)

Answer 2

Lưu Hạ Băng

Ta có : \(1\frac{1}{3}x1\frac{1}{8}x1\frac{1}{15}x1\frac{1}{24}x...x1\frac{1}{99}\)

    \(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)

    \(=\frac{2x2}{1x3}x\frac{3x3}{2x4}x\frac{4x4}{3x5}x\frac{5x5}{4x6}x...x\frac{10x10}{9x11}\)     

    \(=\frac{2x2x3x3x4x4x5x5x...x10x10}{1x3x2x4x3x5x4x6x...x9x11}\)

    \(=\frac{\left(2x3x4x5x...x10\right)x\left(2x3x4x5x...x10\right)}{\left(1x2x3x4x...x9\right)x\left(3x4x5x6x...x11\right)}\)

    \(=\frac{10x2}{1x11}\)

    \(=\frac{20}{11}\)

Chúc bn học tốt !!!

                    Kb vs mk heg =)) ^^

Answer 3

mik đã cho lưu Hạ Băng rồi đó